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Finding the Fourth Proportional to 203,429, 305,143.50 and 78,770

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Solution

The fourth proportional to 203,429, 305,143.50 and 78,770 is: 118,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,429 : 305,143.50 = 78,770 : x
  2. Step 2: Convert to fraction form
    203,429/305,143.50 = 78,770/x
  3. Step 3: Cross multiply
    203,429x = 305,143.50 × 78,770
  4. Step 4: Simplify right side
    203,429x = 24,036,153,495
  5. Step 5: Solve for x
    x = 24,036,153,495/203,429
  6. Step 6: Final answer
    x = 118,155

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.